نتایج جستجو برای: keywords adomian decomposition method

تعداد نتایج: 3367317  

2014
Mohamed A. Ramadan Mohamed S. Al-Luhaibi

In this paper, Sumudu decomposition method is applied to solve various forms of linear and nonlinear KleinGordon equations. The technique is a combined form of the Sumudu transform method and the Adomian decomposition method. The nonlinear term can easily be handled with the help of Adomian polynomials which is considered to be a clear advantage of this technique. We illustrate this technique w...

Ahmad Fakharian, Mohammad Taghi Hamidi Beheshti

First Riccati equation with matrix variable coefficients, arising in optimal and robust control approach, is considered. An analytical approximation of the solution of nonlinear differential Riccati equation is investigated using the Adomian decomposition method. An application in optimal control is presented. The solution in different order of approximations and different methods of approximat...

2014
Belal Batiha

The problem of prey and predator is solved by the differential transformation method (DTM). Numerical comparisons with Adomian decomposition method (ADM) and power series method are presented.

Journal: :Journal of Applied & Computational Mathematics 2016

Journal: :Poincare Journal of Analysis and Applications 2016

Journal: :International Journal of Computer Mathematics 2011

Journal: :Mathematics and Statistics 2021

At present, three numerical solution methods have mainly been used to solve fractional-order chaotic systems in the literature: frequency domain approximation, predictor–corrector approach and Adomian decomposition method (ADM). Based on literature, ADM is capable of dealing with linear nonlinear problems a time domain. Also, (ADM) among efficient approaches for solving non-linear equations. Nu...

2016
Mohamed S. M. Bahgat

Aim of the paper is to investigate applications of Laplace Adomian Decomposition Method (LADM) on nonlinear physical problems. Some coupled system of non-linear partial differential equations (NLPDEs) are considered and solved numerically using LADM. The results obtained by LADM are compared with those obtained by standard and modified Adomian Decomposition Methods. The behavior of the numerica...

2013
S. Abbasbandy T. Allahviranloo

Abstract: In this paper, fully fuzzy linear systems in the form ° ° % A X = b ⊗ (FFLS) will be discussed, where ° n n A × is a fuzzy matrix, x and b are (n×1) fuzzy vector. Transforming fully fuzzy linear system in to two crisp linear systems and using the Jacobi iterative and Adomian Decomposition Methods (ADM) a FFLS will be solved.We will show that to find a solution for a (FFLS) our method ...

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